Answer:
The factored form of the given expression is [tex]3x(x^2+4x+6)[/tex].
Step-by-step explanation:
The given expression is
[tex]3x^3+12x^2+18x[/tex]
we need to find the factored form of the given expression.
Taking GCF common, we get
[tex]3x(x^2+4x+6)[/tex]
If a quadratic expression is defined as [tex]ax^2+bx+c[/tex] and
[tex]b^2-4ac<0[/tex], then the expression can not be factored further.
In the above parentheses the quadratic expression is [tex]x^2+4x+6[/tex],
[tex]b^2-4ac=(4)^2-4(1)(6)=-8<0[/tex]
It means the quadratic expression is [tex]x^2+4x+6[/tex] can not be factored further.
Therefore the factored form of the given expression is [tex]3x(x^2+4x+6)[/tex].
